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Finding the Third Proportional to 19,676 and 30,512

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Solution

The third proportional to 19,676 and 30,512 is: 47,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676 : 30,512 = 30,512 : x
  2. Step 2: Convert to fraction form
    19,676/30,512 = 30,512/x
  3. Step 3: Cross multiply
    19,676x = 30,512 × 30,512
  4. Step 4: Simplify right side
    19,676x = 930,982,144
  5. Step 5: Solve for x
    x = 930,982,144/19,676
  6. Step 6: Final answer
    x = 47,315.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.